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93913404192 = 25322947239243
BaseRepresentation
bin101011101110110101…
…1001101001100100000
322222101222122020110100
41113131223031030200
53014313312413232
6111050534102400
76533155523136
oct1273553151440
9288358566410
1093913404192
1136912739633
121624b4aaa00
138b1881436a
14478c94d756
152699be8c7c
hex15ddacd320

93913404192 has 144 divisors (see below), whose sum is σ = 282154803840. Its totient is φ = 29581794816.

The previous prime is 93913404161. The next prime is 93913404203. The reversal of 93913404192 is 29140431939.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272923 + ... + 512165.

It is an arithmetic number, because the mean of its divisors is an integer number (1959408360).

Almost surely, 293913404192 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 93913404192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141077401920).

93913404192 is an abundant number, since it is smaller than the sum of its proper divisors (188241399648).

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

93913404192 is a wasteful number, since it uses less digits than its factorization.

93913404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239335 (or 239324 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 93913404192 in words is "ninety-three billion, nine hundred thirteen million, four hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 47 48 58 72 87 94 96 116 141 144 174 188 232 261 282 288 348 376 423 464 522 564 696 752 846 928 1044 1128 1363 1392 1504 1692 2088 2256 2726 2784 3384 4089 4176 4512 5452 6768 8178 8352 10904 12267 13536 16356 21808 24534 32712 43616 49068 65424 98136 130848 196272 239243 392544 478486 717729 956972 1435458 1913944 2153187 2870916 3827888 4306374 5741832 6938047 7655776 8612748 11244421 11483664 13876094 17225496 20814141 22488842 22967328 27752188 33733263 34450992 41628282 44977684 55504376 62442423 67466526 68901984 83256564 89955368 101199789 111008752 124884846 134933052 166513128 179910736 202399578 222017504 249769692 269866104 326088209 333026256 359821472 404799156 499539384 539732208 652176418 666052512 809598312 978264627 999078768 1079464416 1304352836 1619196624 1956529254 1998157536 2608705672 2934793881 3238393248 3913058508 5217411344 5869587762 7826117016 10434822688 11739175524 15652234032 23478351048 31304468064 46956702096 93913404192