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30292192920 = 23351179290489
BaseRepresentation
bin11100001101100011…
…100010111010011000
32220012010002211201010
4130031203202322120
5444014300133140
621525510453520
72121445251153
oct341543427230
986163084633
1030292192920
1111935175990
125a549642a0
132b19a8b512
141675188c9a
15bc45e4880
hex70d8e2e98

30292192920 has 128 divisors (see below), whose sum is σ = 100393344000. Its totient is φ = 7250580480.

The previous prime is 30292192919. The next prime is 30292192937. The reversal of 30292192920 is 2929129203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40965 + ... + 249524.

It is an arithmetic number, because the mean of its divisors is an integer number (784323000).

Almost surely, 230292192920 is an apocalyptic number.

30292192920 is a gapful number since it is divisible by the number (30) 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 30292192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50196672000).

30292192920 is an abundant number, since it is smaller than the sum of its proper divisors (70101151080).

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

30292192920 is a wasteful number, since it uses less digits than its factorization.

30292192920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290593 (or 290589 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 30292192920 in words is "thirty billion, two hundred ninety-two million, one hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 290489 580978 871467 1161956 1452445 1742934 2323912 2904890 3195379 3485868 4357335 5809780 6390758 6971736 8714670 9586137 11619560 12781516 15976895 17429340 19172274 22948631 25563032 31953790 34858680 38344548 45897262 47930685 63907580 68845893 76689096 91794524 95861370 114743155 127815160 137691786 183589048 191722740 229486310 252434941 275383572 344229465 383445480 458972620 504869882 550767144 688458930 757304823 917945240 1009739764 1262174705 1376917860 1514609646 2019479528 2524349410 2753835720 3029219292 3786524115 5048698820 6058438584 7573048230 10097397640 15146096460 30292192920