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55131652461648 = 24378912821143797
BaseRepresentation
bin11001000100100010101101…
…00011111001010001010000
321020012112102122121101102010
430202101112203321101100
524211234111012233043
6313131044223022520
714420062512560130
oct1442212643712120
9236175378541363
1055131652461648
1116626225598664
126224a72a3aa40
13249bb7ab32509
14d88559ac8ac0
1565917a308133
hex3224568f9450

55131652461648 has 160 divisors (see below), whose sum is σ = 164612495911680. Its totient is φ = 15573589954560.

The previous prime is 55131652461623. The next prime is 55131652461707. The reversal of 55131652461648 is 84616425613155.

It is a super-2 number, since 2×551316524616482 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383327286 + ... + 383471082.

It is an arithmetic number, because the mean of its divisors is an integer number (1028828099448).

Almost surely, 255131652461648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55131652461648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82306247955840).

55131652461648 is an abundant number, since it is smaller than the sum of its proper divisors (109480843450032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55131652461648 is a wasteful number, since it uses less digits than its factorization.

55131652461648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156725 (or 156719 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The spelling of 55131652461648 in words is "fifty-five trillion, one hundred thirty-one billion, six hundred fifty-two million, four hundred sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4984 7476 9968 12821 14952 25642 29904 38463 51284 76926 89747 102568 143797 153852 179494 205136 269241 287594 307704 358988 431391 538482 575188 615408 717976 862782 1006579 1076964 1141069 1150376 1435952 1725564 2013158 2153928 2282138 2300752 3019737 3423207 3451128 4026316 4307856 4564276 6039474 6846414 6902256 7987483 8052632 9128552 12078948 12797933 13692828 15974966 16105264 18257104 23962449 24157896 25595866 27385656 31949932 38393799 47924898 48315792 51191732 54771312 63899864 76787598 89585531 95849796 102383464 127799728 153575196 179171062 191699592 204766928 268756593 307150392 358342124 383399184 537513186 614300784 716684248 1075026372 1433368496 1843621337 2150052744 3687242674 4300105488 5530864011 7374485348 11061728022 12905349359 14748970696 22123456044 25810698718 29497941392 38716048077 44246912088 51621397436 77432096154 88493824176 103242794872 154864192308 164082298993 206485589744 309728384616 328164597986 492246896979 619456769232 656329195972 984493793958 1148576092951 1312658391944 1968987587916 2297152185902 2625316783888 3445728278853 3937975175832 4594304371804 6891456557706 7875950351664 9188608743608 13782913115412 18377217487216 27565826230824 55131652461648