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51100101660504 = 23313331946352289
BaseRepresentation
bin10111001111001101010110…
…11010000100111101011000
320200221010021221111220212110
423213212223122010331120
523144211002011114004
6300403021305512320
713522601104305021
oct1347465332047530
9220833257456773
1051100101660504
1115311482235126
1258936607a26a0
1322689465a37a0
14c893883b5c48
155d936e4e2589
hex2e79ab684f58

51100101660504 has 128 divisors (see below), whose sum is σ = 138010059532800. Its totient is φ = 15673650094080.

The previous prime is 51100101660463. The next prime is 51100101660523. The reversal of 51100101660504 is 40506610100115.

It is a super-2 number, since 2×511001016605042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977236792 + ... + 977289080.

It is an arithmetic number, because the mean of its divisors is an integer number (1078203590100).

Almost surely, 251100101660504 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 51100101660504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69005029766400).

51100101660504 is an abundant number, since it is smaller than the sum of its proper divisors (86909957872296).

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

51100101660504 is a wasteful number, since it uses less digits than its factorization.

51100101660504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62105 (or 62101 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 51100101660504 its reverse (40506610100115), we get a palindrome (91606711760619).

The spelling of 51100101660504 in words is "fifty-one trillion, one hundred billion, one hundred one million, six hundred sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 331 662 993 1324 1986 2648 3972 4303 7944 8606 9463 12909 17212 18926 25818 28389 34424 37852 51636 52289 56778 75704 103272 104578 113556 123019 156867 209156 227112 246038 313734 369057 418312 492076 627468 679757 738114 984152 1254936 1359514 1476228 2039271 2719028 2952456 3132253 4078542 5438056 6264506 8157084 9396759 12529012 16314168 17307659 18793518 25058024 34615318 37587036 40719289 51922977 69230636 75174072 81438578 103845954 122157867 138461272 162877156 207691908 224999567 244315734 325754312 415383816 449999134 488631468 494810807 674998701 899998268 977262936 989621614 1349997402 1484432421 1799996536 1979243228 2699994804 2968864842 3958486456 5399989608 5937729684 6432540491 11875459368 12865080982 19297621473 25730161964 38595242946 51460323928 77190485892 154380971784 163782377117 327564754234 491347131351 655129508468 982694262702 1310259016936 1965388525404 2129170902521 3930777050808 4258341805042 6387512707563 8516683610084 12775025415126 17033367220168 25550050830252 51100101660504