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2996177904 = 243397127563
BaseRepresentation
bin1011001010010110…
…0000101111110000
321201210211121102000
42302211200233300
522114010143104
61213150254000
7134151043356
oct26245405760
97653747360
102996177904
1112a829a895
126b74b7300
13389976945
14205ccd7d6
1512808b639
hexb2960bf0

2996177904 has 160 divisors (see below), whose sum is σ = 8772771840. Its totient is φ = 978905088.

The previous prime is 2996177881. The next prime is 2996177911. The reversal of 2996177904 is 4097716992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5321527 + ... + 5322089.

It is an arithmetic number, because the mean of its divisors is an integer number (54829824).

Almost surely, 22996177904 is an apocalyptic number.

2996177904 is a gapful number since it is divisible by the number (24) 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 2996177904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386385920).

2996177904 is an abundant number, since it is smaller than the sum of its proper divisors (5776593936).

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

2996177904 is a wasteful number, since it uses less digits than its factorization.

2996177904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 2996177904 is about 54737.3538271627. The cubic root of 2996177904 is about 1441.6368193107.

The spelling of 2996177904 in words is "two billion, nine hundred ninety-six million, one hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 127 144 194 216 254 291 381 388 432 508 563 582 762 776 873 1016 1126 1143 1164 1524 1552 1689 1746 2032 2252 2286 2328 2619 3048 3378 3429 3492 4504 4572 4656 5067 5238 6096 6756 6858 6984 9008 9144 10134 10476 12319 13512 13716 13968 15201 18288 20268 20952 24638 27024 27432 30402 36957 40536 41904 49276 54611 54864 60804 71501 73914 81072 98552 109222 110871 121608 143002 147828 163833 197104 214503 218444 221742 243216 286004 295656 327666 332613 429006 436888 443484 491499 572008 591312 643509 655332 665226 858012 873776 886968 982998 1144016 1287018 1310664 1330452 1474497 1716024 1773936 1930527 1965996 2574036 2621328 2660904 2948994 3432048 3861054 3931992 5148072 5321808 5897988 6935597 7722108 7863984 10296144 11795976 13871194 15444216 20806791 23591952 27742388 30888432 41613582 55484776 62420373 83227164 110969552 124840746 166454328 187261119 249681492 332908656 374522238 499362984 749044476 998725968 1498088952 2996177904