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30606613007400 = 23325217003673893
BaseRepresentation
bin1101111010110001010000…
…10010111100110000101000
311000100222000111002101201100
412331120220102330300220
513002424320412214100
6145032252305121400
76306153255025203
oct675305022746050
9130328014071640
1030606613007400
119830212147a21
123523924929260
131410264166791
1477b521a1093a
153812354bb400
hex1bd6284bcc28

30606613007400 has 72 divisors (see below), whose sum is σ = 102787208689230. Its totient is φ = 8161763468160.

The previous prime is 30606613007381. The next prime is 30606613007401. The reversal of 30606613007400 is 470031660603.

It is a happy number.

30606613007400 is a `hidden beast` number, since 3 + 0 + 60 + 66 + 130 + 0 + 7 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21179342818404 + 9427270188996 = 4602102^2 + 3070386^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (30606613007401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8501835147 + ... + 8501838746.

Almost surely, 230606613007400 is an apocalyptic number.

30606613007400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30606613007400 is an abundant number, since it is smaller than the sum of its proper divisors (72180595681830).

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

30606613007400 is a wasteful number, since it uses less digits than its factorization.

30606613007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003673915 (or 17003673903 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30606613007400 in words is "thirty trillion, six hundred six billion, six hundred thirteen million, seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 17003673893 34007347786 51011021679 68014695572 85018369465 102022043358 136029391144 153033065037 170036738930 204044086716 255055108395 306066130074 340073477860 408088173432 425091847325 510110216790 612132260148 680146955720 765165325185 850183694650 1020220433580 1224264520296 1275275541975 1530330650370 1700367389300 2040440867160 2550551083950 3060661300740 3400734778600 3825826625925 5101102167900 6121322601480 7651653251850 10202204335800 15303306503700 30606613007400