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151822393856 = 297314133329
BaseRepresentation
bin1000110101100101010…
…0011110001000000000
3112111212202121201021022
42031121110132020000
54441413013100411
6153425104445012
713653205024610
oct2153124361000
9474782551238
10151822393856
1159429868681
1225511019768
1311416cb0413
1474c3816a40
153e38aacedb
hex235951e200

151822393856 has 160 divisors (see below), whose sum is σ = 366606535680. Its totient is φ = 61430169600.

The previous prime is 151822393847. The next prime is 151822393913. The reversal of 151822393856 is 658393228151.

It is a junction number, because it is equal to n+sod(n) for n = 151822393798 and 151822393807.

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, 4538600 + ... + 4571928.

It is an arithmetic number, because the mean of its divisors is an integer number (2291290848).

Almost surely, 2151822393856 is an apocalyptic number.

151822393856 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 151822393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183303267840).

151822393856 is an abundant number, since it is smaller than the sum of its proper divisors (214784141824).

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

151822393856 is an equidigital number, since it uses as much as digits as its factorization.

151822393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33426 (or 33410 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 53.

The spelling of 151822393856 in words is "one hundred fifty-one billion, eight hundred twenty-two million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 217 224 248 256 287 328 434 448 496 512 574 656 868 896 992 1148 1271 1312 1736 1792 1984 2296 2542 2624 3472 3584 3968 4592 5084 5248 6944 7936 8897 9184 10168 10496 13888 15872 17794 18368 20336 20992 27776 33329 35588 36736 40672 55552 66658 71176 73472 81344 111104 133316 142352 146944 162688 233303 266632 284704 325376 466606 533264 569408 650752 933212 1033199 1066528 1138816 1366489 1866424 2066398 2133056 2277632 2732978 3732848 4132796 4266112 4555264 5465956 7232393 7465696 8265592 8532224 9565423 10931912 14464786 14931392 16531184 17064448 19130846 21863824 28929572 29862784 33062368 38261692 42361159 43727648 57859144 59725568 66124736 76523384 84722318 87455296 115718288 119451136 132249472 153046768 169444636 174910592 231436576 264498944 296528113 306093536 338889272 349821184 462873152 528997888 593056226 612187072 677778544 699642368 925746304 1186112452 1224374144 1355557088 1851492608 2372224904 2448748288 2711114176 3702985216 4744449808 4897496576 5422228352 9488899616 10844456704 18977799232 21688913408 37955598464 75911196928 151822393856