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29800046385 = 32517223307569
BaseRepresentation
bin11011110000001110…
…001001111100110001
32211220211001012120200
4123300032021330301
5442012302441020
621405010225413
72103321133464
oct336016117461
984824035520
1029800046385
1111702392a0a
125937b85269
132a6bb25c55
141629a792db
15b962cd590
hex6f0389f31

29800046385 has 96 divisors (see below), whose sum is σ = 55212917760. Its totient is φ = 14816784384.

The previous prime is 29800046371. The next prime is 29800046413. The reversal of 29800046385 is 58364000892.

29800046385 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 0 + 0 + 4 + 638 + 5 = 666.

It is not a de Polignac number, because 29800046385 - 24 = 29800046369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 29800046385.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52372381 + ... + 52372949.

It is an arithmetic number, because the mean of its divisors is an integer number (575134560).

Almost surely, 229800046385 is an apocalyptic number.

It is an amenable number.

29800046385 is a deficient number, since it is larger than the sum of its proper divisors (25412871375).

29800046385 is a wasteful number, since it uses less digits than its factorization.

29800046385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 29800046385 in words is "twenty-nine billion, eight hundred million, forty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 223 255 307 569 669 765 921 1115 1535 1707 2007 2763 2845 3345 3791 4605 5121 5219 8535 9673 10035 11373 13815 15657 18955 25605 26095 29019 34119 46971 48365 56865 68461 78285 87057 126887 145095 170595 174683 205383 234855 342305 380661 435285 524049 616149 634435 873415 1026915 1141983 1163837 1572147 1903305 2157079 2620245 2969611 3080745 3491511 5709915 5819185 6471237 7860735 8908833 10474533 10785395 14848055 17457555 19413711 26726499 32356185 38954309 44544165 52372665 97068555 116862927 133632495 194771545 350588781 584314635 662223253 1752943905 1986669759 3311116265 5960009277 9933348795 29800046385