Search a number
-
+
4019215977408 = 263107479408433
BaseRepresentation
bin111010011111001011111…
…100001100101111000000
3112020020022001221111101010
4322133023330030233000
51011322323242234113
612314222523040520
7563243630056632
oct72371374145700
915206261844333
104019215977408
11130a5a3702935
1254ab4b370140
13232019c25978
14dc761458a52
156e837ea81c3
hex3a7cbf0cbc0

4019215977408 has 112 divisors (see below), whose sum is σ = 10755995028480. Its totient is φ = 1324443684864.

The previous prime is 4019215977407. The next prime is 4019215977431. The reversal of 4019215977408 is 8047795129104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019215977407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9636360 + ... + 10044792.

Almost surely, 24019215977408 is an apocalyptic number.

4019215977408 is a gapful number since it is divisible by the number (48) 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 4019215977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377997514240).

4019215977408 is an abundant number, since it is smaller than the sum of its proper divisors (6736779051072).

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

4019215977408 is a wasteful number, since it uses less digits than its factorization.

4019215977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409034 (or 409024 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 4019215977408 in words is "four trillion, nineteen billion, two hundred fifteen million, nine hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 479 642 856 958 1284 1437 1712 1916 2568 2874 3424 3832 5136 5748 6848 7664 10272 11496 15328 20544 22992 30656 45984 51253 91968 102506 153759 205012 307518 408433 410024 615036 816866 820048 1225299 1230072 1633732 1640096 2450598 2460144 3267464 3280192 4901196 4920288 6534928 9802392 9840576 13069856 19604784 26139712 39209568 43702331 78419136 87404662 131106993 174809324 195639407 262213986 349618648 391278814 524427972 586918221 699237296 782557628 1048855944 1173836442 1398474592 1565115256 2097711888 2347672884 2796949184 3130230512 4195423776 4695345768 6260461024 8390847552 9390691536 12520922048 18781383072 20933416549 37562766144 41866833098 62800249647 83733666196 125600499294 167467332392 251200998588 334934664784 502401997176 669869329568 1004803994352 1339738659136 2009607988704 4019215977408