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45253209936 = 24311376313671
BaseRepresentation
bin101010001001010011…
…010010111101010000
311022210202220020210110
4222021103102331100
51220134310204221
632442233201320
73161262636444
oct521123227520
9138722806713
1045253209936
1118212291460
12892b260240
1343625088cc
142294142824
15129cca8776
hexa894d2f50

45253209936 has 160 divisors (see below), whose sum is σ = 131221886976. Its totient is φ = 13317696000.

The previous prime is 45253209913. The next prime is 45253209943. The reversal of 45253209936 is 63990235254.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 12325381 + ... + 12329051.

Almost surely, 245253209936 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 45253209936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610943488).

45253209936 is an abundant number, since it is smaller than the sum of its proper divisors (85968677040).

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

45253209936 is a wasteful number, since it uses less digits than its factorization.

45253209936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 45253209936 in words is "forty-five billion, two hundred fifty-three million, two hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 631 814 888 1221 1262 1628 1776 1893 2442 2524 3256 3671 3786 4884 5048 6512 6941 7342 7572 9768 10096 11013 13882 14684 15144 19536 20823 22026 23347 27764 29368 30288 40381 41646 44052 46694 55528 58736 70041 80762 83292 88104 93388 111056 121143 135827 140082 161524 166584 176208 186776 242286 256817 271654 280164 323048 333168 373552 407481 484572 513634 543308 560328 646096 770451 814962 969144 1027268 1086616 1120656 1494097 1540902 1629924 1938288 2054536 2173232 2316401 2988194 3081804 3259848 4109072 4482291 4632802 5976388 6163608 6519696 6949203 8964582 9265604 11952776 12327216 13898406 17929164 18531208 23905552 25480411 27796812 35858328 37062416 50960822 55593624 71716656 76441233 85706837 101921644 111187248 152882466 171413674 203843288 257120511 305764932 342827348 407686576 514241022 611529864 685654696 942775207 1028482044 1223059728 1371309392 1885550414 2056964088 2828325621 3771100828 4113928176 5656651242 7542201656 11313302484 15084403312 22626604968 45253209936