Search a number
-
+
70551169920 = 27325711214461
BaseRepresentation
bin100000110110100101…
…1010110101110000000
320202002211110202212100
41001231023112232000
52123442044414140
652224420230400
75045216023020
oct1015513265600
9222084422770
1070551169920
1127a14329200
121180b53b400
1368646a74ba
1435b3ccba80
151c7dbd5530
hex106d2d6b80

70551169920 has 576 divisors, whose sum is σ = 306058727520. Its totient is φ = 14658969600.

The previous prime is 70551169901. The next prime is 70551169951. The reversal of 70551169920 is 2996115507.

70551169920 is a `hidden beast` number, since 7 + 0 + 551 + 1 + 6 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4871490 + ... + 4885950.

Almost surely, 270551169920 is an apocalyptic number.

70551169920 is a gapful number since it is divisible by the number (70) 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 70551169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153029363760).

70551169920 is an abundant number, since it is smaller than the sum of its proper divisors (235507557600).

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

70551169920 is a wasteful number, since it uses less digits than its factorization.

70551169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14515 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

It can be divided in two parts, 70551 and 169920, that added together give a triangular number (240471 = T693).

The spelling of 70551169920 in words is "seventy billion, five hundred fifty-one million, one hundred sixty-nine thousand, nine hundred twenty".