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42672402600 = 23352216132911
BaseRepresentation
bin100111101111011110…
…010011000010101000
311002010220122122200120
4213233132103002220
51144343113340400
631334201403240
73040314303012
oct475736230250
9132126578616
1042672402600
1117108505733
12832aa99520
134040925789
1420cb4991b2
15119b419ca0
hex9ef7930a8

42672402600 has 96 divisors (see below), whose sum is σ = 132349683840. Its totient is φ = 11373696000.

The previous prime is 42672402571. The next prime is 42672402629. The reversal of 42672402600 is 620427624.

It is an interprime number because it is at equal distance from previous prime (42672402571) and next prime (42672402629).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1280145 + ... + 1313055.

It is an arithmetic number, because the mean of its divisors is an integer number (1378642540).

Almost surely, 242672402600 is an apocalyptic number.

42672402600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42672402600 is an abundant number, since it is smaller than the sum of its proper divisors (89677281240).

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

42672402600 is a wasteful number, since it uses less digits than its factorization.

42672402600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35091 (or 35082 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 42672402600 in words is "forty-two billion, six hundred seventy-two million, four hundred two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2161 4322 6483 8644 10805 12966 17288 21610 25932 32415 32911 43220 51864 54025 64830 65822 86440 98733 108050 129660 131644 162075 164555 197466 216100 259320 263288 324150 329110 394932 432200 493665 648300 658220 789864 822775 987330 1296600 1316440 1645550 1974660 2468325 3291100 3949320 4936650 6582200 9873300 19746600 71120671 142241342 213362013 284482684 355603355 426724026 568965368 711206710 853448052 1066810065 1422413420 1706896104 1778016775 2133620130 2844826840 3556033550 4267240260 5334050325 7112067100 8534480520 10668100650 14224134200 21336201300 42672402600