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155205943296 = 214319316361
BaseRepresentation
bin1001000010001011111…
…1101100000000000000
3112211121120100211112020
42100202333230000000
510020330210141141
6155144534001440
714133101515335
oct2204277540000
9484546324466
10155205943296
115a905788428
12260b61a6280
1311835c96591
147724d4098c
154085b66266
hex2422fec000

155205943296 has 120 divisors (see below), whose sum is σ = 416039715504. Its totient is φ = 51464110080.

The previous prime is 155205943241. The next prime is 155205943303. The reversal of 155205943296 is 692349502551.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9478156 + ... + 9494516.

Almost surely, 2155205943296 is an apocalyptic number.

155205943296 is a gapful number since it is divisible by the number (16) 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 155205943296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208019857752).

155205943296 is an abundant number, since it is smaller than the sum of its proper divisors (260833772208).

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

155205943296 is an equidigital number, since it uses as much as digits as its factorization.

155205943296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585 (or 16559 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 155205943296 in words is "one hundred fifty-five billion, two hundred five million, nine hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 512 579 768 772 1024 1158 1536 1544 2048 2316 3072 3088 4096 4632 6144 6176 8192 9264 12288 12352 16361 16384 18528 24576 24704 32722 37056 49083 49152 49408 65444 74112 98166 98816 130888 148224 196332 197632 261776 296448 392664 395264 523552 592896 785328 790528 1047104 1185792 1570656 1581056 2094208 2371584 3141312 3157673 3162112 4188416 4743168 6282624 6315346 8376832 9473019 9486336 12565248 12630692 16753664 18946038 25130496 25261384 33507328 37892076 50260992 50522768 67014656 75784152 100521984 101045536 134029312 151568304 201043968 202091072 268058624 303136608 402087936 404182144 606273216 804175872 808364288 1212546432 1616728576 2425092864 3233457152 4850185728 6466914304 9700371456 12933828608 19400742912 25867657216 38801485824 51735314432 77602971648 155205943296