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190417031424 = 283290912
BaseRepresentation
bin1011000101010110111…
…1010101000100000000
3200012111111020102221100
42301111233111010000
511104433230001144
6223250521454400
716520466030054
oct2612557250400
9605444212840
10190417031424
11738344a5064
1230aa2341400
1314c57b57479
1493054b7c64
154e46ee1269
hex2c55bd5100

190417031424 has 81 divisors (see below), whose sum is σ = 549079642839. Its totient is φ = 63465361920.

The previous prime is 190417031417. The next prime is 190417031473. The reversal of 190417031424 is 424130714091.

The square root of 190417031424 is 436368.

It is a perfect power (a square), and thus also a powerful number.

190417031424 is a `hidden beast` number, since 190 + 4 + 17 + 0 + 31 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20941119 + ... + 20950209.

Almost surely, 2190417031424 is an apocalyptic number.

190417031424 is the 436368-th square number.

It is an amenable number.

190417031424 is an abundant number, since it is smaller than the sum of its proper divisors (358662611415).

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

190417031424 is an frugal number, since it uses more digits than its factorization.

190417031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18204 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 190417031424 by its sum of digits (36), we get a square (6855013131264 = 26182082).

190417031424 divided by its sum of digits (36) gives a square (5289361984 = 727282).

The spelling of 190417031424 in words is "one hundred ninety billion, four hundred seventeen million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9091 18182 27273 36364 54546 72728 81819 109092 145456 163638 218184 290912 327276 436368 581824 654552 872736 1163648 1309104 1745472 2327296 2618208 3490944 5236416 6981888 10472832 20945664 82646281 165292562 247938843 330585124 495877686 661170248 743816529 991755372 1322340496 1487633058 1983510744 2644680992 2975266116 3967021488 5289361984 5950532232 7934042976 10578723968 11901064464 15868085952 21157447936 23802128928 31736171904 47604257856 63472343808 95208515712 190417031424