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29938209498054 = 233111333111712997
BaseRepresentation
bin1101100111010100010000…
…10101111010001111000110
310221000001202021222000211000
412303222020111322033012
512411001423112414204
6143401231254154130
76206651511653214
oct663521025721706
9127001667860730
1029938209498054
1195a27a5857420
123436285952946
131392212a69270
14757034bb3cb4
1536db65297039
hex1b3a8857a3c6

29938209498054 has 128 divisors (see below), whose sum is σ = 78396501173760. Its totient is φ = 8349023548800.

The previous prime is 29938209498017. The next prime is 29938209498103. The reversal of 29938209498054 is 45089490283992.

29938209498054 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 82 + 0 + 9 + 498 + 0 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3300517 + ... + 8412480.

It is an arithmetic number, because the mean of its divisors is an integer number (612472665420).

Almost surely, 229938209498054 is an apocalyptic number.

29938209498054 is an abundant number, since it is smaller than the sum of its proper divisors (48458291675706).

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

29938209498054 is a wasteful number, since it uses less digits than its factorization.

29938209498054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713363 (or 11713357 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 29938209498054 in words is "twenty-nine trillion, nine hundred thirty-eight billion, two hundred nine million, four hundred ninety-eight thousand, fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 331 351 429 594 662 702 858 993 1287 1986 2574 2979 3641 3861 4303 5958 7282 7722 8606 8937 10923 12909 17874 21846 25818 32769 38727 47333 65538 77454 94666 98307 116181 141999 196614 232362 283998 425997 851994 1277991 2555982 11712997 23425994 35138991 70277982 105416973 128842967 152268961 210833946 257685934 304537922 316250919 386528901 456806883 632501838 773057802 913613766 1159586703 1370420649 1674958571 2319173406 2740841298 3349917142 3478760109 3877002007 4111261947 5024875713 6957520218 7754004014 8222523894 10049751426 11631006021 15074627139 23262012042 30149254278 34893018063 42647022077 45223881417 50401026091 69786036126 85294044154 90447762834 100802052182 104679054189 127941066231 151203078273 209358108378 255882132462 302406156546 383823198693 453609234819 554411287001 767646397386 907218469638 1108822574002 1151469596079 1360827704457 1663233861003 2302939192158 2721655408914 3326467722006 4989701583009 9979403166018 14969104749027 29938209498054