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155972090987440 = 24571321424737773
BaseRepresentation
bin100011011101101100010101…
…000101000000001110110000
3202110020210020012021121110221
4203131230111011000032300
5130420421320243044230
61311420331152102424
744565416546445160
oct4335542505001660
9673223205247427
10155972090987440
11457744351a6482
12155b0529834a14
136905149ab74a0
142a731377825a0
1513072d312527a
hex8ddb151403b0

155972090987440 has 80 divisors (see below), whose sum is σ = 446320137307968. Its totient is φ = 49362595826688.

The previous prime is 155972090987371. The next prime is 155972090987551. The reversal of 155972090987440 is 44789090279551.

155972090987440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 155972090987440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10712361607 + ... + 10712376166.

Almost surely, 2155972090987440 is an apocalyptic number.

155972090987440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155972090987440 is an abundant number, since it is smaller than the sum of its proper divisors (290348046320528).

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

155972090987440 is a wasteful number, since it uses less digits than its factorization.

155972090987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21424737806 (or 21424737800 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 70.

The spelling of 155972090987440 in words is "one hundred fifty-five trillion, nine hundred seventy-two billion, ninety million, nine hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 21424737773 42849475546 85698951092 107123688865 149973164411 171397902184 214247377730 278521591049 299946328822 342795804368 428494755460 557043182098 599892657644 749865822055 856989510920 1114086364196 1199785315288 1392607955245 1499731644110 1713979021840 1949651137343 2228172728392 2399570630576 2785215910490 2999463288220 3899302274686 4456345456784 5570431820980 5998926576440 7798604549372 9748255686715 11140863641960 11997853152880 15597209098744 19496511373430 22281727283920 31194418197488 38993022746860 77986045493720 155972090987440