Search a number
-
+
153628694712 = 23346113927961
BaseRepresentation
bin1000111100010011111…
…0111101100010111000
3112200112122111022020000
42033010332331202320
510004112421212322
6154324232033000
714046030234063
oct2170476754270
9480478438200
10153628694712
115a1764361a9
1225935b32760
13116442983ac
14761568d8da
153ee245d3ac
hex23c4fbd8b8

153628694712 has 160 divisors (see below), whose sum is σ = 440518940400. Its totient is φ = 50005900800.

The previous prime is 153628694711. The next prime is 153628694753. The reversal of 153628694712 is 217496826351.

It is a happy number.

153628694712 is a `hidden beast` number, since 1 + 5 + 3 + 628 + 6 + 9 + 4 + 7 + 1 + 2 = 666.

153628694712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153628694711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5480412 + ... + 5508372.

Almost surely, 2153628694712 is an apocalyptic number.

153628694712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153628694712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220259470200).

153628694712 is an abundant number, since it is smaller than the sum of its proper divisors (286890245688).

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

153628694712 is a wasteful number, since it uses less digits than its factorization.

153628694712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179 (or 28166 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 153628694712 in words is "one hundred fifty-three billion, six hundred twenty-eight million, six hundred ninety-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 139 162 183 216 244 278 324 366 417 488 549 556 648 732 834 1098 1112 1251 1464 1647 1668 2196 2502 3294 3336 3753 4392 4941 5004 6588 7506 8479 9882 10008 11259 13176 15012 16958 19764 22518 25437 27961 30024 33916 39528 45036 50874 55922 67832 76311 83883 90072 101748 111844 152622 167766 203496 223688 228933 251649 305244 335532 457866 503298 610488 671064 686799 754947 915732 1006596 1373598 1509894 1705621 1831464 2013192 2264841 2747196 3019788 3411242 3886579 4529682 5116863 5494392 6039576 6822484 7773158 9059364 10233726 11659737 13644968 15350589 15546316 18118728 20467452 23319474 30701178 31092632 34979211 40934904 46051767 46638948 61402356 69958422 92103534 93277896 104937633 122804712 138155301 139916844 184207068 209875266 237081319 276310602 279833688 314812899 368414136 419750532 474162638 552621204 629625798 711243957 839501064 948325276 1105242408 1259251596 1422487914 1896650552 2133731871 2518503192 2844975828 4267463742 5689951656 6401195613 8534927484 12802391226 17069854968 19203586839 25604782452 38407173678 51209564904 76814347356 153628694712