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29796955100 = 225211315316487
BaseRepresentation
bin11011110000000010…
…010111001111011100
32211220121020011010122
4123300002113033130
5442011010030400
621404420054112
72103252640133
oct336002271734
984817204118
1029796955100
1111700671430
125936b34338
132a6b2b2ba3
1416294b291a
15b95dbc685
hex6f00973dc

29796955100 has 144 divisors (see below), whose sum is σ = 74191251456. Its totient is φ = 10287264000.

The previous prime is 29796955099. The next prime is 29796955129. The reversal of 29796955100 is 155969792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799057 + ... + 1815543.

It is an arithmetic number, because the mean of its divisors is an integer number (515217024).

Almost surely, 229796955100 is an apocalyptic number.

29796955100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29796955100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37095625728).

29796955100 is an abundant number, since it is smaller than the sum of its proper divisors (44394296356).

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

29796955100 is a wasteful number, since it uses less digits than its factorization.

29796955100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 53.

The spelling of 29796955100 in words is "twenty-nine billion, seven hundred ninety-six million, nine hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 53 55 62 100 106 110 124 155 212 220 265 275 310 341 530 550 583 620 682 775 1060 1100 1166 1325 1364 1550 1643 1705 2332 2650 2915 3100 3286 3410 5300 5830 6572 6820 8215 8525 11660 14575 16430 16487 17050 18073 29150 32860 32974 34100 36146 41075 58300 65948 72292 82150 82435 90365 164300 164870 180730 181357 329740 361460 362714 412175 451825 511097 725428 824350 873811 903650 906785 1022194 1648700 1747622 1807300 1813570 2044388 2555485 3495244 3627140 4369055 4533925 5110970 5622067 8738110 9067850 9611921 10221940 11244134 12777425 17476220 18135700 19223842 21845275 22488268 25554850 27088141 28110335 38447684 43690550 48059605 51109700 54176282 56220670 87381100 96119210 108352564 112441340 135440705 140551675 192238420 240298025 270881410 281103350 297969551 480596050 541762820 562206700 595939102 677203525 961192100 1191878204 1354407050 1489847755 2708814100 2979695510 5959391020 7449238775 14898477550 29796955100