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398016910928 = 24713281972823
BaseRepresentation
bin1011100101010111010…
…10000001011001010000
31102001100111001000012102
411302223222001121100
523010114312122203
6502502455415532
740520141631140
oct5625352013120
91361314030172
10398016910928
1114388619620a
126517b0845a8
132b6c0835360
141539aa6a920
15a547776888
hex5caba81650

398016910928 has 80 divisors (see below), whose sum is σ = 952495869696. Its totient is φ = 156896732160.

The previous prime is 398016910901. The next prime is 398016910957. The reversal of 398016910928 is 829019610893.

It is a super-2 number, since 2×3980169109282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 77276 + ... + 895547.

Almost surely, 2398016910928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398016910928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476247934848).

398016910928 is an abundant number, since it is smaller than the sum of its proper divisors (554478958768).

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

398016910928 is a wasteful number, since it uses less digits than its factorization.

398016910928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973132 (or 973126 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 56.

The spelling of 398016910928 in words is "three hundred ninety-eight billion, sixteen million, nine hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 281 364 562 728 1124 1456 1967 2248 3653 3934 4496 7306 7868 14612 15736 25571 29224 31472 51142 58448 102284 204568 409136 972823 1945646 3891292 6809761 7782584 12646699 13619522 15565168 25293398 27239044 50586796 54478088 88526893 101173592 108956176 177053786 202347184 273363263 354107572 546726526 708215144 1093453052 1416430288 1913542841 2186906104 3553722419 3827085682 4373812208 7107444838 7654171364 14214889676 15308342728 24876056933 28429779352 30616685456 49752113866 56859558704 99504227732 199008455464 398016910928