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30410621496 = 23321724873001
BaseRepresentation
bin11100010100100111…
…010100001000111000
32220111100221122011200
4130110213110020320
5444240104341441
621545341054200
72124414006033
oct342447241070
986440848150
1030410621496
1111996004042
125a88557360
132b384850b8
141686bb601a
15bcebd97b6
hex7149d4238

30410621496 has 144 divisors (see below), whose sum is σ = 87700788240. Its totient is φ = 9517824000.

The previous prime is 30410621473. The next prime is 30410621497. The reversal of 30410621496 is 69412601403.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30410621496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30410621497) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10131996 + ... + 10134996.

Almost surely, 230410621496 is an apocalyptic number.

30410621496 is a gapful number since it is divisible by the number (36) 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 30410621496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43850394120).

30410621496 is an abundant number, since it is smaller than the sum of its proper divisors (57290166744).

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

30410621496 is a wasteful number, since it uses less digits than its factorization.

30410621496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30410621496 in words is "thirty billion, four hundred ten million, six hundred twenty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 487 578 612 867 974 1156 1224 1461 1734 1948 2312 2601 2922 3001 3468 3896 4383 5202 5844 6002 6936 8279 8766 9003 10404 11688 12004 16558 17532 18006 20808 24008 24837 27009 33116 35064 36012 49674 51017 54018 66232 72024 74511 99348 102034 108036 140743 149022 153051 198696 204068 216072 281486 298044 306102 408136 422229 459153 562972 596088 612204 844458 867289 918306 1125944 1224408 1266687 1461487 1688916 1734578 1836612 2533374 2601867 2922974 3377832 3469156 3673224 4384461 5066748 5203734 5845948 6938312 7805601 8768922 10133496 10407468 11691896 13153383 15611202 17537844 20814936 24845279 26306766 31222404 35075688 49690558 52613532 62444808 74535837 99381116 105227064 149071674 198762232 223607511 298143348 422369743 447215022 596286696 844739486 894430044 1267109229 1689478972 1788860088 2534218458 3378957944 3801327687 5068436916 7602655374 10136873832 15205310748 30410621496