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129525651112728 = 233133193714292227
BaseRepresentation
bin11101011100110110001010…
…011011001000001100011000
3121222121112100022220010002110
4131130312022123020030120
5113434122013141101403
61135251132423032320
736165630244533243
oct3534661233101430
9558545308803073
10129525651112728
11382a857a365452
121263ab3259b6a0
1357372a7824230
1423db1099b225a
15ee93d58a0103
hex75cd8a6c8318

129525651112728 has 128 divisors (see below), whose sum is σ = 360356233144320. Its totient is φ = 38527267783680.

The previous prime is 129525651112723. The next prime is 129525651112747. The reversal of 129525651112728 is 827211156525921.

It is a super-2 number, since 2×1295256511127282 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129525651112723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916551 + ... + 16208777.

It is an arithmetic number, because the mean of its divisors is an integer number (2815283071440).

Almost surely, 2129525651112728 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 129525651112728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180178116572160).

129525651112728 is an abundant number, since it is smaller than the sum of its proper divisors (230830582031592).

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

129525651112728 is a wasteful number, since it uses less digits than its factorization.

129525651112728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14293217 (or 14293213 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 57.

The spelling of 129525651112728 in words is "one hundred twenty-nine trillion, five hundred twenty-five billion, six hundred fifty-one million, one hundred twelve thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 937 1209 1612 1874 2418 2811 3224 3748 4836 5622 7496 9672 11244 12181 22488 24362 29047 36543 48724 58094 73086 87141 97448 116188 146172 174282 232376 292344 348564 377611 697128 755222 1132833 1510444 2265666 3020888 4531332 9062664 14292227 28584454 42876681 57168908 85753362 114337816 171506724 185798951 343013448 371597902 443059037 557396853 743195804 886118074 1114793706 1329177111 1486391608 1772236148 2229587412 2658354222 3544472296 4459174824 5316708444 5759767481 10633416888 11519534962 13391816699 17279302443 23039069924 26783633398 34558604886 40175450097 46078139848 53567266796 69117209772 80350900194 107134533592 138234419544 160701800388 174093617087 321403600776 348187234174 415146317669 522280851261 696374468348 830292635338 1044561702522 1245438953007 1392748936696 1660585270676 2089123405044 2490877906014 3321170541352 4178246810088 4981755812028 5396902129697 9963511624056 10793804259394 16190706389091 21587608518788 32381412778182 43175217037576 64762825556364 129525651112728