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151604324496 = 24327124572
BaseRepresentation
bin1000110100110001010…
…0100110100010010000
3112111022120021122100100
42031030110212202100
54440441201340441
6153351314452400
713644616332102
oct2151424464220
9474276248310
10151604324496
1159327763969
122546bb94100
13113b0a6a6b1
1474a288d572
153e24884cb6
hex234c526890

151604324496 has 135 divisors (see below), whose sum is σ = 431285236473. Its totient is φ = 49713995520.

The previous prime is 151604324453. The next prime is 151604324507. The reversal of 151604324496 is 694423406151.

The square root of 151604324496 is 389364.

It is a perfect power (a square), and thus also a powerful number.

151604324496 is a `hidden beast` number, since 1 + 5 + 1 + 604 + 32 + 4 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131116410000 + 20487914496 = 362100^2 + 143136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331737900 + ... + 331738356.

Almost surely, 2151604324496 is an apocalyptic number.

151604324496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151604324496 is the 389364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151604324496

151604324496 is an abundant number, since it is smaller than the sum of its proper divisors (279680911977).

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

151604324496 is an frugal number, since it uses more digits than its factorization.

151604324496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 151604 and 324496, that added together give a square (476100 = 6902).

The spelling of 151604324496 in words is "one hundred fifty-one billion, six hundred four million, three hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 457 568 639 852 914 1136 1278 1371 1704 1828 2556 2742 3408 3656 4113 5041 5112 5484 7312 8226 10082 10224 10968 15123 16452 20164 21936 30246 32447 32904 40328 45369 60492 64894 65808 80656 90738 97341 120984 129788 181476 194682 208849 241968 259576 292023 362952 389364 417698 519152 584046 626547 725904 778728 835396 1168092 1253094 1557456 1670792 1879641 2303737 2336184 2506188 3341584 3759282 4607474 4672368 5012376 6911211 7518564 9214948 10024752 13822422 14828279 15037128 18429896 20733633 27644844 29656558 30074256 36859792 41467266 44484837 55289688 59313116 82934532 88969674 110579376 118626232 133454511 165869064 177939348 237252464 266909022 331738128 355878696 533818044 711757392 1052807809 1067636088 2105615618 2135272176 3158423427 4211231236 6316846854 8422462472 9475270281 12633693708 16844924944 18950540562 25267387416 37901081124 50534774832 75802162248 151604324496