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80074974080 = 2751931212423
BaseRepresentation
bin100101010010011010…
…1110010001110000000
321122200120012011002202
41022210311302032000
52302443143132310
6100441432332332
75533222022633
oct1124465621600
9248616164082
1080074974080
1130a61265232
1213628b440a8
13772182568a
143c38ad3c1a
152139d7d3a5
hex12a4d72380

80074974080 has 128 divisors (see below), whose sum is σ = 208005580800. Its totient is φ = 29365217280.

The previous prime is 80074974079. The next prime is 80074974101. The reversal of 80074974080 is 8047947008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×800749740804 (a number of 45 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270749 + ... + 483171.

It is an arithmetic number, because the mean of its divisors is an integer number (1625043600).

Almost surely, 280074974080 is an apocalyptic number.

80074974080 is a gapful number since it is divisible by the number (80) 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 80074974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104002790400).

80074974080 is an abundant number, since it is smaller than the sum of its proper divisors (127930606720).

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

80074974080 is a wasteful number, since it uses less digits than its factorization.

80074974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212492 (or 212480 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 80074974080 in words is "eighty billion, seventy-four million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 304 310 320 380 496 589 608 620 640 760 992 1178 1216 1240 1520 1984 2356 2432 2480 2945 3040 3968 4712 4960 5890 6080 9424 9920 11780 12160 18848 19840 23560 37696 47120 75392 94240 188480 212423 376960 424846 849692 1062115 1699384 2124230 3398768 4036037 4248460 6585113 6797536 8072074 8496920 13170226 13595072 16144148 16993840 20180185 26340452 27190144 32288296 32925565 33987680 40360370 52680904 64576592 65851130 67975360 80720740 105361808 125117147 129153184 131702260 135950720 161441480 210723616 250234294 258306368 263404520 322882960 421447232 500468588 516612736 526809040 625585735 645765920 842894464 1000937176 1053618080 1251171470 1291531840 2001874352 2107236160 2502342940 2583063680 4003748704 4214472320 5004685880 8007497408 10009371760 16014994816 20018743520 40037487040 80074974080