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4018919220972 = 2233127691424037
BaseRepresentation
bin111010011110111010010…
…000001010011011101100
3112020012112101112201002000
4322132322100022123230
51011321221310032342
612314133242332300
7563233364506545
oct72367220123354
915205471481060
104018919220972
11130a461144387
1254aa87aba090
13231ca05c2346
14dc733c8b4cc
156e81bdda44c
hex3a7ba40a6ec

4018919220972 has 96 divisors (see below), whose sum is σ = 10516685168640. Its totient is φ = 1327164834240.

The previous prime is 4018919220893. The next prime is 4018919221003. The reversal of 4018919220972 is 2790229198104.

It is a happy number.

4018919220972 is a `hidden beast` number, since 4 + 0 + 189 + 192 + 209 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9265738 + ... + 9689774.

It is an arithmetic number, because the mean of its divisors is an integer number (109548803840).

Almost surely, 24018919220972 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 4018919220972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258342584320).

4018919220972 is an abundant number, since it is smaller than the sum of its proper divisors (6497765947668).

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

4018919220972 is a wasteful number, since it uses less digits than its factorization.

4018919220972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424868 (or 424860 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 4018919220972 in words is "four trillion, eighteen billion, nine hundred nineteen million, two hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 691 762 1143 1382 1524 2073 2286 2764 3429 4146 4572 6219 6858 8292 12438 13716 18657 24876 37314 74628 87757 175514 263271 351028 424037 526542 789813 848074 1053084 1272111 1579626 1696148 2369439 2544222 3159252 3816333 4738878 5088444 7632666 9477756 11448999 15265332 22897998 45795996 53852699 107705398 161558097 215410796 293009567 323116194 484674291 586019134 646232388 879028701 969348582 1172038268 1454022873 1758057402 1938697164 2637086103 2908045746 3516114804 5274172206 5816091492 7911258309 10548344412 15822516618 31645033236 37212215009 74424430018 111636645027 148848860036 223273290054 334909935081 446546580108 669819870162 1004729805243 1339639740324 2009459610486 4018919220972