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93428038964 = 221329253173233
BaseRepresentation
bin101011100000010111…
…1101011110100110100
322221011011100010112102
41113000233223310310
53012320034221324
6110530435041232
76515143141151
oct1270057536464
9287134303472
1093428038964
1136693768547
1216134a40218
138a6c0b45c0
1447442c7228
15266c2c1dae
hex15c0bebd34

93428038964 has 144 divisors (see below), whose sum is σ = 187673561712. Its totient is φ = 40437755904.

The previous prime is 93428038867. The next prime is 93428039039. The reversal of 93428038964 is 46983082439.

It can be written as a sum of positive squares in 24 ways, for example, as 44418934564 + 49009104400 = 210758^2 + 221380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400978592 + ... + 400978824.

It is an arithmetic number, because the mean of its divisors is an integer number (1303288623).

Almost surely, 293428038964 is an apocalyptic number.

It is an amenable number.

93428038964 is an abundant number, since it is smaller than the sum of its proper divisors (94245522748).

93428038964 is a wasteful number, since it uses less digits than its factorization.

93428038964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 56.

The spelling of 93428038964 in words is "ninety-three billion, four hundred twenty-eight million, thirty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 26 29 52 53 58 106 116 173 212 233 346 377 466 689 692 754 841 932 1378 1508 1537 1682 2249 2756 3029 3074 3364 4498 5017 6058 6148 6757 8996 9169 10034 10933 12116 12349 13514 18338 19981 20068 21866 24698 27028 36676 39962 40309 43732 44573 49396 65221 79924 80618 87841 89146 119197 130442 145493 160537 161236 175682 178292 195953 238394 260884 265901 290986 321074 351364 358121 391906 476788 524017 531802 579449 581972 642148 716242 783812 1048034 1063604 1158898 1168961 1432484 1891409 2096068 2136377 2317796 2337922 2547389 3456713 3782818 4272754 4655573 4675844 5094778 6913426 7565636 7711129 8545508 9311146 10189556 10385509 13826852 15196493 15422258 18622292 20771018 27772901 30392986 30844516 33899869 41542036 55545802 60785972 61954933 67799738 100244677 111091604 123909866 135011617 135599476 200489354 247819732 270023234 400978708 440698297 540046468 805414129 881396594 1610828258 1762793188 1796693057 3221656516 3593386114 7186772228 23357009741 46714019482 93428038964