Search a number
-
+
76925997435840 = 2635711447321047
BaseRepresentation
bin10001011111011010111010…
…110000000100101111000000
3101002101001110000200222111020
4101133122322300010233000
540040323420320421330
6431335152041145440
722126501633340310
oct2137327260045700
9332331400628436
1076925997435840
1122569150106733
128764934a8b280
1333c01238a9117
1414dd349665440
158d604d504210
hex45f6bac04bc0

76925997435840 has 112 divisors (see below), whose sum is σ = 279131476434432. Its totient is φ = 17583085126656.

The previous prime is 76925997435839. The next prime is 76925997435901. The reversal of 76925997435840 is 4853479952967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 5723653804 + ... + 5723667243.

Almost surely, 276925997435840 is an apocalyptic number.

76925997435840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76925997435840 is an abundant number, since it is smaller than the sum of its proper divisors (202205478998592).

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

76925997435840 is a wasteful number, since it uses less digits than its factorization.

76925997435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447321074 (or 11447321064 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 78.

The spelling of 76925997435840 in words is "seventy-six trillion, nine hundred twenty-five billion, nine hundred ninety-seven million, four hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 11447321047 22894642094 34341963141 45789284188 57236605235 68683926282 80131247329 91578568376 114473210470 137367852564 160262494658 171709815705 183157136752 228946420940 240393741987 274735705128 320524989316 343419631410 366314273504 400656236645 457892841880 480787483974 549471410256 641049978632 686839262820 732628547008 801312473290 915785683760 961574967948 1098942820512 1201968709935 1282099957264 1373678525640 1602624946580 1831571367520 1923149935896 2197885641024 2403937419870 2564199914528 2747357051280 3205249893160 3663142735040 3846299871792 4807874839740 5128399829056 5494714102560 6410499786320 7692599743584 9615749679480 10989428205120 12820999572640 15385199487168 19231499358960 25641999145280 38462998717920 76925997435840