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1921888412028 = 22321331151877291
BaseRepresentation
bin11011111101111001011…
…110011110000101111100
320210201201201010001021100
4123331321132132011330
5222442011413141103
64030523042333100
7255565120650624
oct33757136360574
96721651101240
101921888412028
116810829a5702
1227058465a190
1310c305736830
146903c843884
1534ed56cd5a3
hex1bf7979e17c

1921888412028 has 144 divisors (see below), whose sum is σ = 5436346918912. Its totient is φ = 568483920000.

The previous prime is 1921888411987. The next prime is 1921888412029. The reversal of 1921888412028 is 8202148881291.

It is a happy number.

1921888412028 is a `hidden beast` number, since 1 + 9 + 218 + 8 + 8 + 412 + 0 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921888412029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1752063 + ... + 2629353.

Almost surely, 21921888412028 is an apocalyptic number.

1921888412028 is a gapful number since it is divisible by the number (18) 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 1921888412028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718173459456).

1921888412028 is an abundant number, since it is smaller than the sum of its proper divisors (3514458506884).

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

1921888412028 is a wasteful number, since it uses less digits than its factorization.

1921888412028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877496 (or 877491 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 1921888412028 in words is "one trillion, nine hundred twenty-one billion, eight hundred eighty-eight million, four hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 151 156 186 234 279 302 372 403 453 468 558 604 806 906 1116 1209 1359 1612 1812 1963 2418 2718 3627 3926 4681 4836 5436 5889 7254 7852 9362 11778 14043 14508 17667 18724 23556 28086 35334 42129 56172 60853 70668 84258 121706 168516 182559 243412 365118 547677 730236 877291 1095354 1754582 2190708 2631873 3509164 5263746 7895619 10527492 11404783 15791238 22809566 27196021 31582476 34214349 45619132 54392042 68428698 81588063 102643047 108784084 132470941 136857396 163176126 205286094 244764189 264941882 326352252 353548273 397412823 410572188 489528378 529883764 707096546 794825646 979056756 1060644819 1192238469 1414193092 1589651292 1722122233 2121289638 2384476938 3181934457 3444244466 4106599171 4242579276 4768953876 5166366699 6363868914 6888488932 8213198342 10332733398 12319797513 12727737828 15499100097 16426396684 20665466796 24639595026 30998200194 36959392539 49279190052 53385789223 61996400388 73918785078 106771578446 147837570156 160157367669 213543156892 320314735338 480472103007 640629470676 960944206014 1921888412028