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537928366096 = 241127922112
BaseRepresentation
bin1111101001111110000…
…01110111100000010000
31220102111011010100021101
413310333001313200100
532303134130203341
61051042035434144
753602236445222
oct7647701674020
91812434110241
10537928366096
111981525a2300
1288307155954
133b959c64854
141c07060a412
15ded5807831
hex7d3f077810

537928366096 has 135 divisors (see below), whose sum is σ = 1165808319039. Its totient is φ = 240273633600.

The previous prime is 537928366051. The next prime is 537928366103. The reversal of 537928366096 is 690663829735.

The square root of 537928366096 is 733436.

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

It is a Duffinian number.

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, 2549423431 + ... + 2549423641.

Almost surely, 2537928366096 is an apocalyptic number.

537928366096 is the 733436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537928366096

537928366096 is an abundant number, since it is smaller than the sum of its proper divisors (627879952943).

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

537928366096 is an equidigital number, since it uses as much as digits as its factorization.

537928366096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 64.

Multiplying 537928366096 by its sum of digits (64), we get a square (34427415430144 = 58674882).

The spelling of 537928366096 in words is "five hundred thirty-seven billion, nine hundred twenty-eight million, three hundred sixty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 211 242 316 422 484 632 844 869 968 1264 1688 1738 1936 2321 3376 3476 4642 6241 6952 9284 9559 12482 13904 16669 18568 19118 24964 25531 33338 37136 38236 44521 49928 51062 66676 68651 76472 89042 99856 102124 133352 137302 152944 178084 183359 204248 266704 274604 356168 366718 408496 489731 549208 712336 733436 755161 979462 1098416 1316851 1466872 1510322 1958924 2016949 2633702 2933744 3020644 3517159 3917848 4033898 5267404 5387041 6041288 7034318 7835696 8067796 10534808 10774082 12082576 14068636 14485361 16135592 21069616 21548164 28137272 28970722 32271184 38688749 43096328 56274544 57941444 77377498 86192656 115882888 154754996 159338971 231765776 277855561 309509992 318677942 425576239 555711122 619019984 637355884 851152478 1111422244 1274711768 1702304956 2222844488 2549423536 3056411171 3404609912 4445688976 6112822342 6809219824 12225644684 24451289368 33620522881 48902578736 67241045762 134482091524 268964183048 537928366096