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10376774073444 = 22329353601140551
BaseRepresentation
bin1001011100000000011111…
…1011101011110001100100
31100202000021020010022021010
42113000013323223301210
52330003113130322234
634023005121022220
72120461064206602
oct227000773536144
940660236108233
1010376774073444
113340846495a99
1211b7108784970
135a36aa97354c
1427c34a7d2872
1512edcc7a06e9
hex97007eebc64

10376774073444 has 96 divisors (see below), whose sum is σ = 25160314717440. Its totient is φ = 3324625920000.

The previous prime is 10376774073437. The next prime is 10376774073467. The reversal of 10376774073444 is 44437047767301.

10376774073444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103767740734442 (a number of 27 digits) contains 22 as substring.

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, 73758969 + ... + 73899519.

It is an arithmetic number, because the mean of its divisors is an integer number (262086611640).

Almost surely, 210376774073444 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 10376774073444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580157358720).

10376774073444 is an abundant number, since it is smaller than the sum of its proper divisors (14783540643996).

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

10376774073444 is a wasteful number, since it uses less digits than its factorization.

10376774073444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141541 (or 141539 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 57.

The spelling of 10376774073444 in words is "ten trillion, three hundred seventy-six billion, seven hundred seventy-four million, seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 353 601 706 1059 1202 1412 1803 2118 2404 3606 4236 7212 10237 17429 20474 30711 34858 40948 52287 61422 69716 104574 122844 140551 209148 212153 281102 421653 424306 562204 636459 843306 848612 1272918 1686612 2545836 4075979 6152437 8151958 12227937 12304874 16303916 18457311 24455874 24609748 36914622 48911748 49614503 73829244 84471151 99229006 148843509 168942302 198458012 253413453 297687018 337884604 506826906 595374036 1013653812 1438820587 2449663379 2877641174 4316461761 4899326758 5755282348 7348990137 8632923522 9798653516 14697980274 17265847044 29395960548 29818316303 59636632606 89454948909 119273265212 178909897818 357819795636 864731172787 1729462345574 2594193518361 3458924691148 5188387036722 10376774073444