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150261232656 = 24323614335153
BaseRepresentation
bin1000101111110001000…
…1000111010000010000
3112100211222000111201010
42023330101013100100
54430213333421111
6153010135410520
713566420255333
oct2137421072020
9470758014633
10150261232656
11587a8604107
1225156223a40
13112287257b2
1473b635261a
153d969d1aa6
hex22fc447410

150261232656 has 160 divisors (see below), whose sum is σ = 412723084032. Its totient is φ = 47006023680.

The previous prime is 150261232621. The next prime is 150261232661. The reversal of 150261232656 is 656232162051.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29157376 + ... + 29162528.

Almost surely, 2150261232656 is an apocalyptic number.

150261232656 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 150261232656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206361542016).

150261232656 is an abundant number, since it is smaller than the sum of its proper divisors (262461851376).

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

150261232656 is a wasteful number, since it uses less digits than its factorization.

150261232656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 150261232656 in words is "one hundred fifty billion, two hundred sixty-one million, two hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 433 488 552 732 866 976 1104 1299 1403 1464 1732 2598 2806 2928 3464 4209 5153 5196 5612 6928 8418 9959 10306 10392 11224 15459 16836 19918 20612 20784 22448 26413 29877 30918 33672 39836 41224 52826 59754 61836 67344 79239 79672 82448 105652 118519 119508 123672 158478 159344 211304 237038 239016 247344 314333 316956 355557 422608 474076 478032 607499 628666 633912 711114 942999 948152 1214998 1257332 1267824 1422228 1822497 1885998 1896304 2231249 2429996 2514664 2844456 3644994 3771996 4462498 4859992 5029328 5688912 6693747 7229659 7289988 7543992 8924996 9719984 13387494 14459318 14579976 15087984 17849992 21688977 26774988 28918636 29159952 35699984 43377954 51318727 53549976 57837272 86755908 102637454 107099952 115674544 136106189 153956181 173511816 205274908 272212378 307912362 347023632 408318567 410549816 544424756 615824724 816637134 821099632 1088849512 1231649448 1633274268 2177699024 2463298896 3130442347 3266548536 6260884694 6533097072 9391327041 12521769388 18782654082 25043538776 37565308164 50087077552 75130616328 150261232656