Search a number
-
+
72816651996933 = 31323299737617673
BaseRepresentation
bin10000100011100111110010…
…101011010000111100000101
3100112211012111200021110012110
4100203213302223100330011
534021012000402400213
6414511301431011233
721223554342415125
oct2043476253207405
9315735450243173
1072816651996933
11212244067a9439
128200431509b19
1331827720a3860
1413da4b804cc85
158641dcb4a5c3
hex4239f2ad0f05

72816651996933 has 128 divisors (see below), whose sum is σ = 114074135239680. Its totient is φ = 40941111214080.

The previous prime is 72816651996877. The next prime is 72816651996971. The reversal of 72816651996933 is 33969915661827.

It is not a de Polignac number, because 72816651996933 - 210 = 72816651995909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72816651996133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9489980785 + ... + 9489988457.

It is an arithmetic number, because the mean of its divisors is an integer number (891204181560).

Almost surely, 272816651996933 is an apocalyptic number.

It is an amenable number.

72816651996933 is a deficient number, since it is larger than the sum of its proper divisors (41257483242747).

72816651996933 is a wasteful number, since it uses less digits than its factorization.

72816651996933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599.

The product of its digits is 793618560, while the sum is 75.

The spelling of 72816651996933 in words is "seventy-two trillion, eight hundred sixteen billion, six hundred fifty-one million, nine hundred ninety-six thousand, nine hundred thirty-three".

Divisors: 1 3 13 23 29 39 69 87 97 291 299 377 667 897 1131 1261 2001 2231 2813 3761 3783 6693 7673 8439 8671 11283 23019 26013 29003 36569 48893 64699 86503 87009 99749 109069 109707 146679 176479 194097 222517 259509 299247 327207 364817 529437 667551 744281 841087 1094451 1124539 1417897 2232843 2294227 2508587 2523261 2892721 3373617 4253691 4742621 5117891 6882681 7525761 8390791 8678163 9675653 10579693 14227863 15353673 17118463 21584149 25172373 28858153 29026959 31739079 32611631 51355389 64752447 66532583 86574459 97834893 109080283 137536009 199597749 222540019 243332939 280593937 327240849 375155989 412608027 496435427 663737519 667620057 729998817 836886437 841781811 1125467967 1489306281 1991212557 2510659311 2799240841 3163328207 6453660551 8397722523 8628587747 9489984621 10879523681 19248388051 19360981653 25885763241 32638571043 36390130933 57745164153 64382539343 81177984389 109170392799 193147618029 243533953167 250229044663 750687133989 836973011459 1055313797057 1867093640947 2510919034377 3165941391171 5601280922841 24272217332311 72816651996933