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102191378537424 = 243115931050131081
BaseRepresentation
bin10111001111000101001000…
…110100010001101111010000
3111101211101210212122101110110
4113033011020310101233100
5101343300420401144144
61001202023214001320
730345040424315031
oct2717051064215720
9441741725571413
10102191378537424
112a61a136073780
12b565459aa6240
1345037b47b4727
141b34136746a88
15bc3373db90b9
hex5cf148d11bd0

102191378537424 has 160 divisors (see below), whose sum is σ = 288516294811008. Its totient is φ = 30910924800000.

The previous prime is 102191378537321. The next prime is 102191378537441. The reversal of 102191378537424 is 424735873191201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3287889564 + ... + 3287920644.

Almost surely, 2102191378537424 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 102191378537424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144258147405504).

102191378537424 is an abundant number, since it is smaller than the sum of its proper divisors (186324916273584).

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

102191378537424 is a wasteful number, since it uses less digits than its factorization.

102191378537424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42197 (or 42191 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 102191378537424 in words is "one hundred two trillion, one hundred ninety-one billion, three hundred seventy-eight million, five hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 593 1186 1779 2372 3558 4744 6523 7116 9488 10501 13046 14232 19569 21002 26092 28464 31081 31503 39138 42004 52184 62162 63006 78276 84008 93243 104368 115511 124324 126012 156552 168016 186486 231022 248648 252024 313104 341891 346533 372972 462044 497296 504048 683782 693066 745944 924088 1025673 1367564 1386132 1491888 1848176 2051346 2735128 2772264 4102692 5470256 5544528 6227093 8205384 12454186 16410768 18431033 18681279 24908372 36862066 37362558 49816744 55293099 68498023 73724132 74725116 99633488 110586198 136996046 147448264 149450232 202741363 205494069 221172396 273992092 294896528 298900464 326381581 405482726 410988138 442344792 547984184 608224089 652763162 810965452 821976276 884689584 979144743 1095968368 1216448178 1305526324 1621930904 1643952552 1958289486 2432896356 2611052648 3243861808 3287905104 3590197391 3916578972 4865792712 5222105296 7180394782 7833157944 9731585424 10770592173 14360789564 15666315888 21541184346 28721579128 43082368692 57443158256 86164737384 172329474768 193544277533 387088555066 580632832599 774177110132 1161265665198 1548354220264 2128987052863 2322531330396 3096708440528 4257974105726 4645062660792 6386961158589 8515948211452 9290125321584 12773922317178 17031896422904 25547844634356 34063792845808 51095689268712 102191378537424