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87874679297376 = 25328311933081433
BaseRepresentation
bin10011111110101111101011…
…000010110101010101100000
3102112010201220111020010010200
4103332233223002311111200
543004214320400004001
6510521023111025200
724336510320543616
oct2376575302652540
9375121814203120
1087874679297376
1125aaa495636664
129a3285036b200
133a0571514446a
14179b22b3c76b6
15a25c4e744086
hex4febeb0b5560

87874679297376 has 144 divisors (see below), whose sum is σ = 253116458156016. Its totient is φ = 28914382983168.

The previous prime is 87874679297333. The next prime is 87874679297399. The reversal of 87874679297376 is 67379297647878.

87874679297376 is a `hidden beast` number, since 8 + 7 + 8 + 7 + 4 + 67 + 92 + 97 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26976756 + ... + 30058188.

It is an arithmetic number, because the mean of its divisors is an integer number (1757753181639).

Almost surely, 287874679297376 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 87874679297376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126558229078008).

87874679297376 is an abundant number, since it is smaller than the sum of its proper divisors (165241778858640).

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

87874679297376 is a wasteful number, since it uses less digits than its factorization.

87874679297376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082725 (or 3082714 counting only the distinct ones).

The product of its digits is 75278149632, while the sum is 90.

The spelling of 87874679297376 in words is "eighty-seven trillion, eight hundred seventy-four billion, six hundred seventy-nine million, two hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1193 1328 1494 1992 2386 2656 2988 3579 3984 4772 5976 7158 7968 9544 10737 11952 14316 19088 21474 23904 28632 38176 42948 57264 85896 99019 114528 171792 198038 297057 343584 396076 594114 792152 891171 1188228 1584304 1782342 2376456 3081433 3168608 3564684 4752912 6162866 7129368 9244299 9505824 12325732 14258736 18488598 24651464 27732897 28517472 36977196 49302928 55465794 73954392 98605856 110931588 147908784 221863176 255758939 295817568 443726352 511517878 767276817 887452704 1023035756 1534553634 2046071512 2301830451 3069107268 3676149569 4092143024 4603660902 6138214536 7352299138 8184286048 9207321804 11028448707 12276429072 14704598276 18414643608 22056897414 24552858144 29409196552 33085346121 36829287216 44113794828 58818393104 66170692242 73658574432 88227589656 117636786208 132341384484 176455179312 264682768968 305120414227 352910358624 529365537936 610240828454 915361242681 1058731075872 1220481656908 1830722485362 2440963313816 2746083728043 3661444970724 4881926627632 5492167456086 7322889941448 9763853255264 10984334912172 14645779882896 21968669824344 29291559765792 43937339648688 87874679297376