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6157070153120 = 255131496759141
BaseRepresentation
bin101100110011000110111…
…1110101011010110100000
3210210121110210202001112202
41121212031332223112200
51301334134424344440
621032304033312332
71203555636533555
oct131461576532640
923717423661482
106157070153120
111a64220650257
128353464056a8
133587bc6085c3
1417400a55ca2c
15aa25d5dc615
hex5998dfab5a0

6157070153120 has 96 divisors (see below), whose sum is σ = 14660315784576. Its totient is φ = 2443494476800.

The previous prime is 6157070153111. The next prime is 6157070153123. The reversal of 6157070153120 is 213510707516.

It is a super-2 number, since 2×61570701531202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6157070153123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104078750 + ... + 104137890.

It is an arithmetic number, because the mean of its divisors is an integer number (152711622756).

Almost surely, 26157070153120 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 6157070153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330157892288).

6157070153120 is an abundant number, since it is smaller than the sum of its proper divisors (8503245631456).

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

6157070153120 is a wasteful number, since it uses less digits than its factorization.

6157070153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64254 (or 64246 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 6157070153120 in words is "six trillion, one hundred fifty-seven billion, seventy million, one hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 4967 5240 9934 10480 19868 20960 24835 39736 49670 59141 79472 99340 118282 158944 198680 236564 295705 397360 473128 591410 650677 794720 946256 1182820 1301354 1892512 2365640 2602708 3253385 4731280 5205416 6506770 7747471 9462560 10410832 13013540 15494942 20821664 26027080 30989884 38737355 52054160 61979768 77474710 104108320 123959536 154949420 247919072 293753347 309898840 587506694 619797680 1175013388 1239595360 1468766735 2350026776 2937533470 4700053552 5875066940 9400107104 11750133880 23500267760 38481688457 47000535520 76963376914 153926753828 192408442285 307853507656 384816884570 615707015312 769633769140 1231414030624 1539267538280 3078535076560 6157070153120