Search a number
-
+
96245537520 = 24351167544129
BaseRepresentation
bin101100110100010101…
…1100101101011110000
3100012102111221212221210
41121220223211223300
53034102324200040
6112114203520120
76645024366516
oct1315053455360
9305374855853
1096245537520
11378aa107950
12167a0529040
1390caa2a502
1449305844b6
152784816480
hex1668ae5af0

96245537520 has 160 divisors (see below), whose sum is σ = 330343499520. Its totient is φ = 22983966720.

The previous prime is 96245537513. The next prime is 96245537543. The reversal of 96245537520 is 2573554269.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96245537520.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 95185 + ... + 448944.

It is an arithmetic number, because the mean of its divisors is an integer number (2064646872).

Almost surely, 296245537520 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 96245537520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165171749760).

96245537520 is an abundant number, since it is smaller than the sum of its proper divisors (234097962000).

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

96245537520 is a wasteful number, since it uses less digits than its factorization.

96245537520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544223 (or 544217 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 96245537520 in words is "ninety-six billion, two hundred forty-five million, five hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 240 264 268 330 335 402 440 528 536 660 670 737 804 880 1005 1072 1320 1340 1474 1608 2010 2211 2640 2680 2948 3216 3685 4020 4422 5360 5896 7370 8040 8844 11055 11792 14740 16080 17688 22110 29480 35376 44220 58960 88440 176880 544129 1088258 1632387 2176516 2720645 3264774 4353032 5441290 5985419 6529548 8161935 8706064 10882580 11970838 13059096 16323870 17956257 21765160 23941676 26118192 29927095 32647740 35912514 36456643 43530320 47883352 59854190 65295480 71825028 72913286 89781285 95766704 109369929 119708380 130590960 143650056 145826572 179562570 182283215 218739858 239416760 287300112 291653144 359125140 364566430 401023073 437479716 478833520 546849645 583306288 718250280 729132860 802046146 874959432 1093699290 1203069219 1436500560 1458265720 1604092292 1749918864 2005115365 2187398580 2406138438 2916531440 3208184584 4010230730 4374797160 4812276876 6015346095 6416369168 8020461460 8749594320 9624553752 12030692190 16040922920 19249107504 24061384380 32081845840 48122768760 96245537520