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4081720188 = 22372132918413
BaseRepresentation
bin1111001101001010…
…0001101101111100
3101112110110212110210
43303102201231330
531324410021223
61513005232420
7203102022600
oct36322415574
911473425423
104081720188
11180502a877
1295ab62710
13500834a60
142aa147500
1518d518893
hexf34a1b7c

4081720188 has 144 divisors (see below), whose sum is σ = 12343272480. Its totient is φ = 1039320576.

The previous prime is 4081720187. The next prime is 4081720193. The reversal of 4081720188 is 8810271804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081720187) 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, 212470 + ... + 230882.

It is an arithmetic number, because the mean of its divisors is an integer number (85717170).

Almost surely, 24081720188 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 4081720188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171636240).

4081720188 is an abundant number, since it is smaller than the sum of its proper divisors (8261552292).

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

4081720188 is a wasteful number, since it uses less digits than its factorization.

4081720188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18476 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 4081720188 is about 63888.3415655783. The cubic root of 4081720188 is about 1598.1384845442.

The spelling of 4081720188 in words is "four billion, eighty-one million, seven hundred twenty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 49 52 58 78 84 87 91 98 116 147 156 174 182 196 203 273 294 348 364 377 406 546 588 609 637 754 812 1092 1131 1218 1274 1421 1508 1911 2262 2436 2548 2639 2842 3822 4263 4524 5278 5684 7644 7917 8526 10556 15834 17052 18413 18473 31668 36826 36946 55239 55419 73652 73892 110478 110838 128891 220956 221676 239369 257782 386673 478738 515564 533977 718107 773346 902237 957476 1067954 1436214 1546692 1601931 1675583 1804474 2135908 2706711 2872428 3203862 3351166 3608948 3737839 5026749 5413422 6407724 6702332 6941701 7475678 10053498 10826844 11213517 11729081 13883402 14951356 20106996 20825103 22427034 23458162 26164873 27766804 35187243 41650206 44854068 46916324 48591907 52329746 70374486 78494619 83300412 97183814 104659492 140748972 145775721 156989238 194367628 291551442 313978476 340143349 583102884 680286698 1020430047 1360573396 2040860094 4081720188