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155601262432 = 25721119474811
BaseRepresentation
bin1001000011101010001…
…1101101011101100000
3112212122010020010102201
42100322203231131200
510022132410344212
6155252055022544
714145641623300
oct2207243553540
9485563203381
10155601262432
115aa98946560
12261a666aa54
1311899b59425
147761647600
1540aa702b57
hex243a8ed760

155601262432 has 144 divisors (see below), whose sum is σ = 409211974080. Its totient is φ = 57433017600.

The previous prime is 155601262409. The next prime is 155601262469. The reversal of 155601262432 is 234262106551.

155601262432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 155601262391 and 155601262400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90307 + ... + 565117.

It is an arithmetic number, because the mean of its divisors is an integer number (2841749820).

Almost surely, 2155601262432 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 155601262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204605987040).

155601262432 is an abundant number, since it is smaller than the sum of its proper divisors (253610711648).

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

155601262432 is a wasteful number, since it uses less digits than its factorization.

155601262432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474865 (or 474850 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 155601262432 its reverse (234262106551), we get a palindrome (389863368983).

The spelling of 155601262432 in words is "one hundred fifty-five billion, six hundred one million, two hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 224 266 304 308 352 392 418 532 539 608 616 784 836 931 1064 1078 1232 1463 1568 1672 1862 2128 2156 2464 2926 3344 3724 4256 4312 5852 6688 7448 8624 10241 11704 14896 17248 20482 23408 29792 40964 46816 81928 163856 327712 474811 949622 1899244 3323677 3798488 5222921 6647354 7596976 9021409 10445842 13294708 15193952 18042818 20891684 23265739 26589416 36085636 36560447 41783368 46531478 53178832 63149863 72171272 73120894 83566736 93062956 99235499 106357664 126299726 144342544 146241788 167133472 186125912 198470998 252599452 255923129 288685088 292483576 372251824 396941996 442049041 505198904 511846258 584967152 694648493 744503648 793883992 884098082 1010397808 1023692516 1169934304 1389296986 1587767984 1768196164 2020795616 2047385032 2778593972 3175535968 3536392328 4094770064 4862539451 5557187944 7072784656 8189540128 9725078902 11114375888 14145569312 19450157804 22228751776 38900315608 77800631216 155601262432