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253984919004 = 223519127108289
BaseRepresentation
bin1110110010001010101…
…1100100110111011100
3220021120122102201100000
43230202223210313130
513130130114402004
6312402402134300
724230661122265
oct3544253446734
9807518381300
10253984919004
1198794957943
1241283051390
131ac4883012b
14c415b5b96c
156917ab0c39
hex3b22ae4ddc

253984919004 has 144 divisors (see below), whose sum is σ = 706362675200. Its totient is φ = 79573487616.

The previous prime is 253984918951. The next prime is 253984919021. The reversal of 253984919004 is 400919489352.

253984919004 is a `hidden beast` number, since 25 + 398 + 49 + 190 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2291292 + ... + 2399580.

Almost surely, 2253984919004 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 253984919004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353181337600).

253984919004 is an abundant number, since it is smaller than the sum of its proper divisors (452377756196).

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

253984919004 is a wasteful number, since it uses less digits than its factorization.

253984919004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108454 (or 108440 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 253984919004 in words is "two hundred fifty-three billion, nine hundred eighty-four million, nine hundred nineteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 127 162 171 228 243 254 324 342 381 486 508 513 684 762 972 1026 1143 1524 1539 2052 2286 2413 3078 3429 4572 4617 4826 6156 6858 7239 9234 9652 10287 13716 14478 18468 20574 21717 28956 30861 41148 43434 61722 65151 86868 108289 123444 130302 195453 216578 260604 324867 390906 433156 586359 649734 781812 974601 1172718 1299468 1949202 2057491 2345436 2923803 3898404 4114982 5847606 6172473 8229964 8771409 11695212 12344946 13752703 17542818 18517419 24689892 26314227 27505406 35085636 37034838 41258109 52628454 55010812 55552257 74069676 82516218 105256908 111104514 123774327 165032436 166656771 222209028 247548654 261301357 333313542 371322981 495097308 499970313 522602714 666627084 742645962 783904071 999940626 1045205428 1113968943 1485291924 1567808142 1999881252 2227937886 2351712213 3135616284 3341906829 4455875772 4703424426 6683813658 7055136639 9406848852 13367627316 14110273278 21165409917 28220546556 42330819834 63496229751 84661639668 126992459502 253984919004