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83491203145504 = 2571140498368589
BaseRepresentation
bin10010111110111101001111…
…100000010101111100100000
3101221121200101111111111112211
4102332331033200111330200
541420404441001124004
6453323155040131504
723405016563201020
oct2276751740257440
9357550344444484
1083491203145504
112466a469623330
1294451a3006b94
13377825717882b
141688dd2659a80
1599bbe7860504
hex4bef4f815f20

83491203145504 has 96 divisors (see below), whose sum is σ = 204983590896000. Its totient is φ = 32521002455040.

The previous prime is 83491203145489. The next prime is 83491203145513. The reversal of 83491203145504 is 40554130219438.

It is a super-3 number, since 3×834912031455043 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5792442 + ... + 14161030.

It is an arithmetic number, because the mean of its divisors is an integer number (2135245738500).

Almost surely, 283491203145504 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 83491203145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102491795448000).

83491203145504 is an abundant number, since it is smaller than the sum of its proper divisors (121492387750496).

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

83491203145504 is a wasteful number, since it uses less digits than its factorization.

83491203145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372666 (or 8372658 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 83491203145504 in words is "eighty-three trillion, four hundred ninety-one billion, two hundred three million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4049 8098 16196 28343 32392 44539 56686 64784 89078 113372 129568 178156 226744 311773 356312 453488 623546 712624 906976 1247092 1425248 2494184 4988368 8368589 9976736 16737178 33474356 58580123 66948712 92054479 117160246 133897424 184108958 234320492 267794848 368217916 468640984 644381353 736435832 937281968 1288762706 1472871664 1874563936 2577525412 2945743328 5155050824 10310101648 20620203296 33884416861 67768833722 135537667444 237190918027 271075334888 372728585471 474381836054 542150669776 745457170942 948763672108 1084301339552 1490914341884 1897527344216 2609100098297 2981828683768 3795054688432 5218200196594 5963657367536 7590109376864 10436400393188 11927314735072 20872800786376 41745601572752 83491203145504